1.12.7. Solve mathematical problems involving exponents and roots.

1.12.7. Perform addition, subtraction, and scalar multiplication on matrices.

1.12.8. Identify and apply real number properties to solve problems.

1.12.1. Use algebraic expressions to identify and describe the nth term of a sequence.

2.12.2. Isolate any variable in given equations, inequalities, proportions, and formulas to use in mathematical and practical situations.

2.12.3. Add, subtract, multiply, and factor 1st and 2nd degree polynomials connecting the arithmetic and algebraic processes.

2.12.3. Simplify algebraic expressions, including exponents and radicals.

2.12.4. Determine the domain and range of functions, including linear, quadratic, and absolute value, algebraically and graphically.

2.12.4. Solve absolute value equations and inequalities both algebraically and graphically.

2.12.5. Solve systems of two linear equations algebraically and graphically and verify solutions (with and without technology).

2.12.6.Solve mathematical and practical problems involving linear and quadratic equations with a variety of methods, including discrete methods (with and without technology).

3.12.2.Justify, communicate, and differentiate between precision, error, and tolerance in practical problems.

3.12.3.Select and use appropriate measurement tools, techniques, and formulas to solve problems in mathematical and practical situations.

3.12.4.Interpret and apply consumer data presented in charts, tables, and graphs to make informed financial decisions related to practical applications.

3.12.5.Determine the measure of unknown dimensions, angles, areas, and volumes using relationships and formulas to solve problems.

4.12.1.Identify and use the parts of a circle to solve mathematical and practical problems.

4.12.1.Identify and apply properties of interior and exterior angles of polygons to solve mathematical and practical problems.

4.12.2.Apply properties of similarity through right triangle trigonometry to find missing angles and sides.

4.12.5.Determine the slope of lines using coordinate geometry and algebraic techniques.

4.12.5.Identify parallel, perpendicular, and intersecting lines by slope.

4.12.5.Graph linear equations and find possible solutions to those equations using coordinate geometry.

4.12.5.Find possible solution sets of systems of equations whose slopes indicate parallel, perpendicular, or intersecting lines.

4.12.6.Solve problems using complementary and supplementary angles, congruent angles, vertical angles, angles formed when parallel lines are cut by a transversal and angles in polygons.

4.12.7.Apply the Pythagorean Theorem and its converse in mathematical and practical situations.

4.12.9.Formulate, evaluate, and justify arguments using inductive and deductive reasoning in mathematical and practical situations.

5.12.1.Organize statistical data through the use of tables, graphs, and matrices (with and without technology).

5.12.2.Select and apply appropriate statistical measures in mathematical and practical situations.

5.12.3 Distinguish between a sample and a census.Identify sources of bias and their effect on data representations and statistical conclusions.

5.12.3.Use the shape of a normal distribution to compare and analyze data from a sample.

5.12.4.Apply permutations and combinations to mathematical and practical situations, including the Fundamental Counting Principle.

5.12.5.Determine the probability of an event with and without replacement using sample spaces.Design, conduct, analyze, and effectively communicate the results of multi-stage probability experiments.